Fano manifolds having (n-1,0)-type extremal rays with large Picard number

Abstract

We classify smooth Fano manifolds X with the Picard number ${\rho }_X\ge 3$ such that there exists an extremal ray which has a birational contraction that maps a divisor to a point.

10 pages

Cited by in corpus (4)

• On the second and third exterior power of tangent bundles of Fano manifolds with birational contractions
• Towards a criterion for slope stability of Fano manifolds along divisors
• Positivity of the second exterior power of the tangent bundles
• Extremal contractions of 2-Fano fourfolds